Research Article

On New Hermite-Hadamard-Fejér type inequalities for harmonically quasi convex functions

Volume: 68 Number: 1 February 1, 2019
EN

On New Hermite-Hadamard-Fejér type inequalities for harmonically quasi convex functions

Abstract

In this paper, we give the theorems and results for the trapezoidal and midpoint type inequality of new Hermite-Hadamard-Fejér for harmonically-quasi convex functions via fractional integrals.

Keywords

References

  1. Alomari, M. W., Darus, M., Kirmaci, U. S., Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means, Computers and Mathematics with Applications, 59 (2010), 225-232.
  2. Chen, F. and Wu, S., Fejér and Hermite-Hadamard type inqequalities for harmonically convex functions, J. Appl. Math., volume 2014, article id:386806.
  3. İşcan, İ., Wu, S. , Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals, Appl. Math. Comput., 238 (2014) 237-244.
  4. İşcan, İ., Hermite-Hadamard type inequalities for harmonically convex functions, Hacet. J. Math. Stat., 43 (6) (2014), 935-942.
  5. İşcan, İ. and Kunt, M., Hermite-Hadamard-Fejér type inequalities for harmonically convex functions via fractional integrals, RGMIA, 18(2015), Article 107, 16 pp.
  6. İşcan, İ. and Kunt, M., Hermite-Hadamard-Fejér type inequalities for harmonically quasi-convex functions via fractional integrals, KYUNGPOOK Math., accepted paper.
  7. İşcan, İ., Turhan, S. and Maden, S., Some Hermite-Hadamard-Fejer type inequalities for harmonically convex functions via fractional integral, NTMSCI 4 (2016), No. 2, 1-10.
  8. Kilbas, A. A., Srivastava, H. M., Trujillo, J. J., Theory and applications of fractional differential equations. Elsevier, Amsterdam, 2006.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

February 1, 2019

Submission Date

July 19, 2017

Acceptance Date

April 9, 2018

Published in Issue

Year 2019 Volume: 68 Number: 1

APA
Turhan, S., & İşcan, İ. (2019). On New Hermite-Hadamard-Fejér type inequalities for harmonically quasi convex functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 734-750. https://doi.org/10.31801/cfsuasmas.464205
AMA
1.Turhan S, İşcan İ. On New Hermite-Hadamard-Fejér type inequalities for harmonically quasi convex functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(1):734-750. doi:10.31801/cfsuasmas.464205
Chicago
Turhan, Sercan, and İmdat İşcan. 2019. “On New Hermite-Hadamard-Fejér Type Inequalities for Harmonically Quasi Convex Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (1): 734-50. https://doi.org/10.31801/cfsuasmas.464205.
EndNote
Turhan S, İşcan İ (February 1, 2019) On New Hermite-Hadamard-Fejér type inequalities for harmonically quasi convex functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 1 734–750.
IEEE
[1]S. Turhan and İ. İşcan, “On New Hermite-Hadamard-Fejér type inequalities for harmonically quasi convex functions”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 1, pp. 734–750, Feb. 2019, doi: 10.31801/cfsuasmas.464205.
ISNAD
Turhan, Sercan - İşcan, İmdat. “On New Hermite-Hadamard-Fejér Type Inequalities for Harmonically Quasi Convex Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/1 (February 1, 2019): 734-750. https://doi.org/10.31801/cfsuasmas.464205.
JAMA
1.Turhan S, İşcan İ. On New Hermite-Hadamard-Fejér type inequalities for harmonically quasi convex functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:734–750.
MLA
Turhan, Sercan, and İmdat İşcan. “On New Hermite-Hadamard-Fejér Type Inequalities for Harmonically Quasi Convex Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 1, Feb. 2019, pp. 734-50, doi:10.31801/cfsuasmas.464205.
Vancouver
1.Sercan Turhan, İmdat İşcan. On New Hermite-Hadamard-Fejér type inequalities for harmonically quasi convex functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Feb. 1;68(1):734-50. doi:10.31801/cfsuasmas.464205

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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